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How does a current differential protection scheme handle CT ratio mismatch?
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A current differential protection scheme is designed to detect faults in electrical systems by comparing the currents entering and leaving a protected zone. The idea is to ensure that the current entering the protection zone is equal to the current leaving the zone, and if there’s a mismatch, it indicates a fault (like a short circuit).

Now, **CT (Current Transformer) ratio mismatch** can occur if the current transformers on either side of the protected zone have different transformation ratios. This means the secondary current from the CTs won’t match in proportion, which could lead to incorrect protection operation or even failure to detect faults.

Here's how current differential protection deals with **CT ratio mismatch**:

### 1. **CT Ratio Correction (Ratio Compensation)**
In some advanced protection schemes, there is a built-in function to compensate for CT ratio differences. This is often called **"CT ratio correction"**. If the CTs on both sides of the protection zone have different ratios, the protection relay can automatically adjust the differential calculation by applying a correction factor based on the known difference in the CT ratios.

For example:
- If the CT on one side has a ratio of 100:1 (primary to secondary), and the other side has 200:1, the relay will account for this ratio difference by scaling the secondary current on the side with the lower CT ratio.

### 2. **Differential Restraint (Biasing)**
Many modern differential protection schemes use a biasing or restraint technique, which helps prevent false tripping when the CT ratios are mismatched. This involves adding a "restraint" current that is proportional to the total current in the system. In cases of CT ratio mismatch, the relay can use this restraint current to avoid tripping when the differential current is small or when there is a CT mismatch that creates an imbalance in the protection calculation.

### 3. **Supervision and Detection of Mismatch**
Some protection relays include supervision algorithms that actively monitor the ratio of the CTs during normal operation. If there is a detected mismatch, the protection relay can raise an alarm or enter a state where it doesn’t trip until the issue is resolved, thus avoiding a fault detection failure. This is typically more common in high-end protection relays.

### 4. **Using a Compensation Factor in Settings**
In some cases, protection settings allow the engineer to input the CT ratio directly into the relay, which helps to match the current measurements from different CTs. This compensation ensures that the differential protection works correctly, even when there is a mismatch in CT ratios.

### 5. **Sensitivity Settings**
A mismatched CT ratio could impact the sensitivity of the differential protection. To mitigate this, the protection relay can be set with a higher sensitivity to detect small differences caused by mismatched CT ratios, especially if the mismatch is significant.

### Summary:
To handle CT ratio mismatch, modern current differential protection schemes use a combination of:
- **CT ratio compensation**,
- **Biasing techniques** (differential restraint),
- **Supervision algorithms**, and
- **Sensitivity adjustments**.

These methods help ensure that the protection system operates reliably and doesn’t give false trips or miss real faults due to CT ratio differences.

If you want to dive deeper into any of these techniques or want more examples, let me know!
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